The Cramer–Rao lower bound in a non-AWGN model for the affine phase retrieval

DOI10.1142/S0219691320500897zbMath1471.94014MaRDI QIDQ5010112

Kaixin Wang, Zhitao Zhuang

Publication date: 24 August 2021

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

Cramer-Rao lower boundphaseliftaffine phase retrieval

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Uses Software

• PhaseMax
• PhaseLift
• FASTA

Cites Work

• Reconstruction of signals from magnitudes of redundant representations: the complex case
• Phase retrieval for sparse signals
• Quantum tomography under prior information
• On stability of generalized phase retrieval and generalized affine phase retrieval
• On stability of generalized (affine) phase retrieval in the complex case
• Phase retrieval of real-valued signals in a shift-invariant space
• Saving phase: injectivity and stability for phase retrieval
• Generalized phase retrieval: measurement number, matrix recovery and beyond
• Phase retrieval from the magnitudes of affine linear measurements
• An algebraic characterization of injectivity in phase retrieval
• Phase recovery, MaxCut and complex semidefinite programming
• Phase Retrieval from Incomplete Magnitude Information via Total Variation Regularization
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• PhaseMax: Convex Phase Retrieval via Basis Pursuit
• Microlocal Analysis of the Geometric Separation Problem

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